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84055040 = 210516417
BaseRepresentation
bin1010000001010…
…01010000000000
312212011102211122
411000221100000
5133004230130
612201331412
72040312266
oct500512000
9185142748
1084055040
11434a0883
1224196b68
1314550014
14b240436
1575a52e5
hex5029400

84055040 has 44 divisors (see below), whose sum is σ = 201645876. Its totient is φ = 33619968.

The previous prime is 84055033. The next prime is 84055061. The reversal of 84055040 is 4055048.

It can be written as a sum of positive squares in 2 ways, for example, as 25563136 + 58491904 = 5056^2 + 7648^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3089 + ... + 13328.

Almost surely, 284055040 is an apocalyptic number.

84055040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84055040 is an abundant number, since it is smaller than the sum of its proper divisors (117590836).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

84055040 is a wasteful number, since it uses less digits than its factorization.

84055040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16442 (or 16424 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The square root of 84055040 is about 9168.1535763751. The cubic root of 84055040 is about 438.0475473636.

The spelling of 84055040 in words is "eighty-four million, fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2560 5120 16417 32834 65668 82085 131336 164170 262672 328340 525344 656680 1050688 1313360 2101376 2626720 4202752 5253440 8405504 10506880 16811008 21013760 42027520 84055040